The equations of motion (REF ) can be suitably combined and solved for
\(\phi _{\pi p}\)  and \(\phi _{\pi \sigma }\)  [1]}:
\(\phi _{\pi \sigma }(\tau )&=& 6\tau \bar{\tau }\left(\int d\tau \frac{\bar{\tau }\phi ^{EOM}_{\pi 2}(\bar{\tau })-\tau \phi _{\pi 2}^{EOM}(\tau )}{2\tau ^2\bar{\tau }^2} + C\right)\,, \nonumber \\\phi _{\pi p}(\tau )&=&\frac{1}{6\tau \bar{\tau }} \phi _{\pi \sigma }(\tau ) + \frac{1}{2\tau } \phi _{\pi 2}^{EOM}(\bar{\tau })+ \frac{1}{2\bar{\tau }}\phi _{\pi 2}^{EOM}(\tau )\,.\) 
